← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 861 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  3. 3.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.Two trains, 90 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  9. 9.Two trains, 190 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?
  12. 12.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  13. 13.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  14. 14.Two trains, 100 m and 285 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  15. 15.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  22. 22.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 170 m and 130 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.Two trains, 70 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  25. 25.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  28. 28.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  32. 32.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.Two trains, 60 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  37. 37.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 230 m and 190 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?

Answer key

  1. 4
  2. 21
  3. 390
  4. 6
  5. 5
  6. 32
  7. 33
  8. 22
  9. 10
  10. 18
  11. 48
  12. 30
  13. 37
  14. 11
  15. 6
  16. 22
  17. 480
  18. 36
  19. 24
  20. 27
  21. 43
  22. 17
  23. 6
  24. 7
  25. 600
  26. 13
  27. 60
  28. 15
  29. 30
  30. 20
  31. 28
  32. 260
  33. 525
  34. 4
  35. 21
  36. 190
  37. 24
  38. 12
  39. 16
  40. 24

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude